摘要
本文给出了构造空间π~3中Lagrange插值适定结点组的添加超平面法以及构造沿无重复分量代数超曲面插值适定结点组的添加超平面法,从而弄清楚了这两种适定结点组间的几何结构。
In the paper, we give a hypersurface-superposition process and a hyperplane-su-perposition process to construct a properly posed set of nodes for Lagrange interpolation in space πns, and a properly posed set of nodes for Lagrange interpolation along a hypersurface without multiple factors, respectively, and then find out the geometric structure between the two kinds of properly posed sets of nodes.
